4020260256 has 192 divisors, whose sum is σ = 12194582400. Its totient is φ = 1287014400.

The previous prime is 4020260243. The next prime is 4020260261. The reversal of 4020260256 is 6520620204.

4020260256 is a `hidden beast` number, since 4 + 0 + 2 + 0 + 2 + 602 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7040451 + ... + 7041021.

It is an arithmetic number, because the mean of its divisors is an integer number (63513450).

Almost surely, 2^4020260256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4020260256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6097291200).

4020260256 is an abundant number, since it is smaller than the sum of its proper divisors (8174322144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4020260256 is a wasteful number, since it uses less digits than its factorization.

4020260256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4020260256 is about 63405.5222831576. The cubic root of 4020260256 is about 1590.0766356797.

The spelling of 4020260256 in words is "four billion, twenty million, two hundred sixty thousand, two hundred fifty-six".